Question

The population mean GPA of all CLU students is 3.15 and the population variance is .55. A sample of 50 students is collected. Use this information to answer the following five questions. What is the standard deviation of the sample mean

Answer 1

Answer:

The standard deviation of the sample mean $\mathbf{\sigma _x =0.1049}$

Step-by-step explanation:

We are provided with just a question; so, we are going to do just that.

Given that:

The population Mean $\mu$ = 3.15

The population variance $\sigma^2$ = 0.55

The sample size n = 50

We can calculate the Standard deviation of the sample mean $\sigma_x$ by using the formula:

$\sigma _x = \dfrac{\sigma}{\sqrt{n}}$

Recall that:

The population variance $\sigma^2$ = 0.55

So; $\sigma= \sqrt{0.55}$

$\sigma=0.7416$

Then: $\sigma _x = \dfrac{0.7416}{\sqrt{50}}$

$\mathbf{\sigma _x =0.1049}$